LCM of 703, 585, 900, 845, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 585, 900, 845, 944 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 703, 585, 900, 845, 944. So, keep reading to learn more.
Given numbers are 703,585,900,845,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,585,900,845,944 is 25234606800.
Find LCM of 703,585,900,845,944 with Prime Factorization
| 2 | 703, 585, 900, 845, 944 |
| 2 | 703, 585, 450, 845, 472 |
| 3 | 703, 585, 225, 845, 236 |
| 3 | 703, 195, 75, 845, 236 |
| 5 | 703, 65, 25, 845, 236 |
| 13 | 703, 13, 5, 169, 236 |
| 703, 1, 5, 13, 236 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 703 x 1 x 5 x 13 x 236 = 25234606800
Therefore, the lowest common multiple of 703,585,900,845,944 is 25234606800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
703 x 585 x 900 x 845 x 944 = 295244899560000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
703 : 1, 19, 37, 703
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
845 : 1, 5, 13, 65, 169, 845
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,585,900,845,944, is 1.
Now, the common factors can be found like this.
703:19x 37
585:3x 3x 5x 13
900:2x 2x 3x 3x 5x 5
845:5x 13x 13
944:2x 2x 2x 2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5x 13 = 11700
Therefore, the value for common factors is 11700.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 295244899560000/(1x11700)
LCM = 295244899560000/11700
LCM = 25234606800
Thus, we can understand that the LCM of 703,585,900,845,944 is 25234606800.
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FAQs on LCM of 703, 585, 900, 845, 944
1. What is the LCM of 703, 585, 900, 845, 944?
Answer: LCM of 703, 585, 900, 845, 944 is 25234606800.
2. How to calculate the LCM of 703, 585, 900, 845, 944?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 703, 585, 900, 845, 944.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.